There are 75 students performing in the holiday concert. Of the students, 30 are boys. What percent of the students are boys?

Answer:

  x = 10.67

Step-by-step explanation:

The triangles shown are similar, so corresponding sides are proportional. This lets us write a relation that can be solved for x.

For the given figure, we can write the proportion ...

  AB/CA = DB/ED . . . . . . where DB = ED +BE

  (3x-4)/12 = (24 +3x)/24 . . . . . . substitute given values

Multiplying by 24 gives ...

  2(3x -4) = 3x +24

  6x -8 = 3x +24 . . . . . eliminate parentheses

  3x = 32 . . . . . . . . add 8-3x

  x = 32/3 = 10 2/3 ≈ 10.67 . . . . . divide by 3 and convert to decimal

The value of x to the nearest hundredth is 10.67.

Answer:

12.5

Step-by-step explanation:

When a golf ball is hit with a velocity of 105 ft/s at an angle of 30°, its motion can be described using a set of parametric equations, which are as follows:x = (105 cos 30°)t and y = (105 sin 30°)t - 16t²

Where x and y are the horizontal and vertical positions of the ball at any given time t, respectively. The angle of 30° is converted to radians (π/6) before being used in the equations.The horizontal position x is given by the formula x = vt cos θ, where v is the initial velocity of the ball, θ is the angle of projection, and t is time.

Substituting the given values, we get x = (105 cos 30°)t.The vertical position y is given by the formula y = vt sin θ - 1/2gt², where g is the acceleration due to gravity. Substituting the given values, we get y = (105 sin 30°)t - 16t².Hence, the correct set of parametric equations to describe the motion of the golf ball are x = (105 cos 30°)t and y = (105 sin 30°)t - 16t².

Know more about parametric equations here:

https://brainly.com/question/29275326

#SPJ11

Expectancy theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an on the exam?".

 Expectancy theory (expectancy theory of motivation) was put forward by Victor Vroom in 1964. Vroom put more emphasis on outcome factors, rather than needs as proposed by Maslow and Herzberg.

This theory states that the intensity of the tendency to perform in a certain way depends on the intensity of the expectation that performance will be followed by a definite outcome and on the attractiveness of the result to the individual.

Vroom argues that people will be motivated to do certain things to achieve goals if they believe that their actions will lead to the achievement of these goals.

There are three main assumptions of Vroom in expectancy theory.  These assumptions are as follows:

-Every individual believes that if he behaves in a certain way, he will get certain things.  This is called an outcome expectancy as a person's subjective assessment of the likelihood that a certain outcome will arise from that person's actions.

-Each outcome has value, or appeal to a particular person.  This is called valence (valence) as the value that people give to an expected result.

-Each outcome is associated with a perception of how difficult it is to achieve that outcome.  This is called effort expectancy as the possibility that one's efforts will result in the attainment of a certain goal.

Learn more about expectancy theory at https://brainly.com/question/27502489.

#SPJ4

Answer:

r = 1

Step-by-step explanation:

8 - 6r + 3 = 5

Combine like terms

11 - 6r = 5

Subtract 5 from both sides

6 - 6r = 0

Add 6r to both sides

6 = 6r

Divide both sides by 6

1 = r

Answer:

To reflect a triangle across the y-axis, you need to negate the x-coordinate of each vertex.

The original triangle with vertices (1, 3), (2, 5), and (4, 3) will be reflected across the y-axis to become a new triangle with the following vertices: (-1, 3), (-2, 5), and (-4, 3).

Keep in mind that a reflection across the y-axis means that the object is flipped along the y-axis. Therefore, the x-coordinate of each vertex is multiplied by -1, which flips the object horizontally.

Answer:

57

Step-by-step explanation:

(-12)(3)(-2)(2)-(-12+3)

Answer:

hey

Step-by-step explanation:

We can use the distributive property to expand the left side of the equation, which will give us YZ + XY.

Property is a term used to describe an individual's ownership of something tangible or intangible. Property can include real estate, such as a house or land, or personal property, such as furniture, vehicles, and jewelry. Property can also include intangible items such as copyrights, patents, trademarks, and trade secrets. When property is owned, it is the responsibility of the owner to protect it from damage, destruction, theft, or other losses.

We can then use the given equation to substitute WX for YZ on the right side, which will give us WY. Therefore, YZ + XY = WY.

To learn more about property

https://brainly.com/question/28094056

#SPJ1

Answer: D. between 4.79 and 4.8

Step-by-step explanation:

The square root of 23 (√23) is 4.79583152331. We can obviously eliminate A and B. C and D is left. C is wrong because if we approximate the square root of 23, which is 4.79583152331, we get 4.79. 4.79 > 4.78, so it can't be C. Hope this helps :)

i'm on the same test-

Bartlett Company is in a healthy financial position, with strong liquidity, consistent profitability, and diverse revenue streams.

The Strengths are defined as,

The company has a healthy current ratio, which indicates that it can meet its short-term obligations efficiently.

The company has been consistently generating profits over the years, and its net income has been increasing.

Bartlett Company generates revenue from multiple sources, which reduces the risk of dependence on a single source.

The Weaknesses are defined as

An increasing debt level can put pressure on the company's financial position in the long run.

Bartlett Company's return on equity (ROE) is relatively lower compared to the industry average, indicating that the company is not generating as much profit from its equity as its peers.

The company has a low dividend payout ratio, which means that it is not distributing much of its profits to shareholders in the form of dividends.

To know more about financial position here

https://brainly.com/question/28286358

#SPJ4

15. \(y = \underline{16x}\)

16. \(y = \underline{15x}\)

We can write our line in Slope-Intercept form, \(y = mx +b\), where \(b\) is the \(y\)-intercept of the line which is the \(y\)-coordinate when \(x = 0\)and \(m\) is the slope of the line which is calculated by \(\frac{y_2 -y_1}{x_2 -x_1}\\\) where \(x_n\) and \(y_n\) is the \(xy\)-coordinates of any point \(n\) on the line.

For problem 15, we can see that at \(x = 0\), \(y = 0\) as well. So \(b = 0\). To calculate the slope of the line, we choose any two points that is on line. We can see that points \((0,0)\) and \((2,32)\) is on the line so these are our points \(1\) and \(2\).

Calculating the slope:

\(m = \frac{32 -0}{2 -0} \\ m = \frac{32}{2} \\ m = 16\)

Now we can plug everything we know and it is \(y = 16x +0\) or \(y = 16x\).

We can apply the same procedure for problem 16. At \(x = 0\), \(y = 0\) so \(b = 0\). For the slope, we can choose the points, \((2,30)\) and \((4,60)\).

I'm not choosing \((0,0)\) (although choosing it will make it easier) just for kicks but the bottom line is, you can choose any point on the line you want.

Calculating the slope:

\(m = \frac{60 -30}{4 -2} \\ m = \frac{30}{2} \\ m = 15\)

The equation of the line can be written as \(y = 15x\).

Answer:

x = 59

Step-by-step explanation:

since the quadrilateral add up to 360 degrees,

X + X + (2x + 3 ) + (2x + 3) would equal 360 degrees

x + x + (2x + 3) + (2x + 3) = 360

6x + 6 = 360, addtion

6x = 354, subtraction

x = 59, division

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
To learn more about truth table
https://brainly.com/question/28605215
#SPJ4

The interest payable for $3,750 represents the cost of borrowing that amount of money. the interest payable for $3,750 represents the amount of interest that needs to be paid on the loan or debt of that amount.

It is the cost of borrowing the money and is calculated based on the interest rate and the period for which the loan is taken.
When you borrow money, whether it's from a bank, a credit card company, or any other lender, you are usually required to pay interest on the borrowed amount. Interest is the fee charged for the use of borrowed funds. In this case, the interest payable for $3,750 refers to the total amount of interest that is owed on a debt of that specific amount.
The calculation of interest payable depends on various factors, including the interest rate and the duration of the loan. The interest rate is typically expressed as an annual percentage, and it represents the cost of borrowing over a year. However, the interest payable may be calculated based on different compounding periods, such as monthly, quarterly, or annually.
To determine the exact amount of interest payable, you need to multiply the borrowed amount ($3,750) by the interest rate and the duration of the loan. For example, if the interest rate is 5% per year and the loan duration is one year, the interest payable would be $3,750 multiplied by 5%, which equals $187.50.
It's important to note that the interest payable may vary depending on the terms of the loan or debt agreement. Different lenders may have different interest rates and repayment schedules, so it's crucial to review the specific terms and conditions to accurately determine the interest payable for a given amount.

learn more about interest here

https://brainly.com/question/28236069



#SPJ11

The system of differential equations is given as:df = 9f - 15 r dt dr = 5f - 11 r. dta.

To find the general solution of the given system of differential equations, we need to solve the given two differential equations .df/dt = 9f - 15rdr/dt = 5f - 11rWe can solve the above system of differential equations by using the elimination method:(9f - 15r)/5 = f/r(9/5)f - (15/5)r = (9/5)f - 3r = 0Thus, from the above equation, we get:r = (9/5)f/3 = (3/5)f

Substitute r in the first differential equation9f - 15[(3/5)f] = df/dt9f - 9f = df/dt0 = df/dtWe get that f = C1where C1 is an arbitrary constant.Substituting the value of f in r = (3/5)f, we get:r = (3/5)C1Therefore, the general solution is:f(t) = C1r(t) = (3/5)C1b. Given the population starts with 22 foxes and 6 rabbitsLet f = 22 and r = 6 in the general solution.f(t) = C1 = 22Thus, the particular solution is:f(t) = 22r(t) = (3/5)C1 = (3/5)22 = 13.2Explanation:Thus, the general solution is:f(t) = C1r(t) = (3/5)C1Given that the population starts with 22 foxes and 6 rabbitsLet f = 22 and r = 6 in the general solution.f(t) = C1 = 22Thus, the particular solution is:f(t) = 22r(t) = (3/5)C1 = (3/5)22 = 13.2

Therefore, the particular solution is f(t) = 22, r(t) = 13.2.

Learn more about differential equations click here:

https://brainly.com/question/1164377

#SPJ11

Hi there! Assume that this is your question.

\( \large{ \int \limits^a_b ( {x}^{2} + 2x)dx}\)

Before we get to Integral, you have to know Differentiation first. If you know how to differentiate a polynomial function then we are good to go in Integral!

We call the function that we are going to integrate as Integrand. Integrand is a function that's differentiated. In Integral, Integrating requires you to turn the function from differentiated to an original function.

For Ex. If the Integrand is x² then the original function is (1/3)x³ because when we differentiate (1/3)x³, we get x²

\( \large{f(x) = \frac{1}{3} {x}^{3} \longrightarrow f'(x) = {x}^{2} } \\ \large{f'(x) = 3( \frac{1}{3} ) {x}^{3 - 1} } \\ \large{f'(x) = {x}^{2} }\)

So when we Integrate, make sure to convert Integrand as in original function. From the question, our Integrand is x²+2x. The function is in differentiated form. We know that x² is from (1/3)x³ and 2x comes from x²

\( \large{ f(x) = {x}^{2} \longrightarrow f'(x) = 2x} \\ \large{f'(x) = 2 {x}^{2 - 1} } \\ \large{f'(x) = 2x}\)

Thus,

\( \large{ \int \limits^a_b ( {x}^{2} + 2x)dx} \\ \large{\int \limits^a_b ( \frac{1}{3} {x}^{3} + {x}^{2}) }\)

Normally, if it's an indefinite Integral then we'd just put + C after (1/3)x³+x² but since we have a and b, it's a definite Integral.

\( \large{ \int \limits^b_a f(x)dx = F(b) - F(a)}\)

Define F(x) as our anti-diff

From our problem, substitute x = a in then subtract with the one that substitute x = b

\( \large{ (\frac{1}{3}{a}^{3} + {a}^{2} ) - ( \frac{1}{3} {b}^{3} + {b}^{2}) }\)

Simplify as we get:

\( \large \boxed{ \frac{1}{3}{a}^{3} + {a}^{2} - \frac{1}{3} {b}^{3} - {b}^{2}}\)

To complete each statement using any of the words in the word bank below:

9.If three planes intersect in a point, then the triple scalar product of their normals does not equal zero.

10.If the triple scalar product of the normals of three planes equals zero, then the planes intersect in a line.

11.Two planes are perpendicular if their normals are orthogonal.

12.When algebraically determining the intersection of a plane and a line, if the result is 0 = 0, then they have infinite solutions.

13.A system of 3 planes is consistent if it has one or more solutions.

14.A system of 3 planes is inconsistent if it has no solution.

15.In three-space, if two lines are not parallel and do not intersect, they are called skew lines.

To learn more about triple scalar product visit:

brainly.com/question/13419505

#SPJ11

Answer:

y = 3x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = 12 + c ⇒ c = 3 - 12 = - 9

y = 3x - 9 ← equation of line

Answer:

Well since the question ask for what in the green box, its 193

193 goes in the green box

If you solve everything it would be 13.89 (rounded to the nearest hundredths)

Step-by-step explanation:

So missing side of a right triangle, you can use the Pythagorean Theroum which is a^2+b^2=c^2

In this case we have the two legs which are a and b, we’re trying to find hypotnuse, “c”.

7^2+12^2=c^2

49+144=c^2

193= c^2

You basically do √193

which is the answer needed for this situation

Final answer: is 193 goes into the green box

Answer:

x = - 5

Step-by-step explanation:

Given h(x) = 6x - 2 and h(x)= - 32, then equate the right sides, that is

6x - 2 = - 32 ( add 2 to both sides )

6x = - 30 ( divide both sides by 6 )

x = - 5

Answer:

54

Step-by-step explanation:

3 times 2 equals 6

12 times 4 equals 48

The required number of vehicles on the blocks are 15 and x + y.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

1 .
How many vehicles were on the block if there were 3 bicycles and 12 cars?
Total vehicles = 3 + 12 = 15

2.
How many vehicles were on the block if there were x bicycles and y cars?
Total vehicles = x + y

Thus, the required number of vehicles on the blocks are 15 and x + y.

Learn more about models here:

https://brainly.com/question/22591166
#SPJ2

There are approximately 8.36 × \(10^25\) water molecules in 2.5 million liters of water.

To find the number of moles of water in 2.5 million liters, we need to convert the volume to grams and then to moles using the given density and molecular mass.

Given:

Volume of water = 2.5 million liters

Density of water = 1 g/mL

Molecular mass of water = 18 g/mol

First, let's convert the volume from liters to grams using the density of water:

2.5 million liters * 1 g/mL = 2.5 million grams

Next, we can convert grams to moles using the molecular mass of water:

2.5 million grams / 18 g/mol ≈ 138,889 moles

Therefore, there are approximately 138,889 moles of water in 2.5 million liters.

To find the number of water molecules, we can use Avogadro's number, which states that there are approximately 6.022 × \(10^23\) molecules in one mole of a substance.

Number of water molecules = Number of moles * Avogadro's number

Number of water molecules ≈ 138,889 moles * 6.022 × 10^23 molecules/mole

Calculating this, we get:

Number of water molecules ≈ 8.36 ×\(10^25\) molecules

Therefore, there are approximately 8.36 × \(10^25\)water molecules in 2.5 million liters of water.

Learn more about Avogadro's number here:

https://brainly.com/question/16348863

#SPJ11

An Olympic-sized swimming pool holds 2.5 million liters of water. How many moles of water is this? How many water molecules? Some potentially useful facts: 2.5 million = 2.5×\(10^6\).

The density of water is 1 g/mL. The molecular mass of water is 18 g/mol.

The triangle with side lengths a=3 cm, b=√12.96 cm, and c=4 cm can be classified as a scalene triangle, as all three sides have different lengths.

To classify the triangle based on its side lengths, we need to compare the lengths of the three sides. In this case, side a has a length of 3 cm, side b has a length of √12.96 cm, and side c has a length of 4 cm.

A scalene triangle is a triangle in which all three sides have different lengths. In this scenario, since the lengths of sides a, b, and c are different, the triangle can be classified as a scalene triangle.

It is important to note that the triangle's angles can also be used to classify triangles. However, since only the side lengths are provided in this question, we can determine the triangle's classification based solely on the side lengths, which leads us to conclude that it is a scalene triangle.

to learn more about scalene triangle click here:

brainly.com/question/30765574

#SPJ11

Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

Answer:

Miguel has video games = 14

Beth has video games = 10

Step-by-step explanation:

Miguel has video games = m

Beth has video games = b

We make the equations:

m=b+4 (Miguel has  4 more video games than Beth)

m+b=24 (together they have a total of 24 video games)

So, the system of equations is:

\(m=b+4\\m+b=24\)

Now, solving these system of equations to find values of m and b

Let:

\(m=b+4--eq(1)\\m+b=24--eq(2)\)

Put value of m from equation 1 into equation 2

\(m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10\)

We get value of b: b=10

Now, finding value of m by putting value of b in equation 1

\(m=b+4\\m=10+4\\m=14\)

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10

Answer:

m+b=24

m=b+4

Step-by-step explanation:

on edg